But first we consider a more general situation.
Generalising the class functions \(\chi ^{(2)}\)  defined
in the previous section, one
defines for a character \(\chi \)  of a finite group \(G\)  and \(m\in \mathbb {N}\)  the class function \(\chi ^{(m)}\)  by \(\chi ^{(m)}(g)=\chi (g^m)\) , for all \(g\in G\) .
This class function is also known to
be a difference of two characters [1]}.
